question_answer

  Consider the following statements relating to 3 lines \[{{L}_{1}},\,{{L}_{2}}\] and \[{{L}_{3}}\] in the same plane      

1. If \[{{L}_{2}}\] and \[{{L}_{3}}\] are both parallel to \[{{L}_{1}}\], then they are parallel to each other.

2. If \[{{L}_{2}}\] and \[{{L}_{3}}\]are both perpendicular to \[{{L}_{1}}\], then they are parallel to each other.

3. If the acute angle between \[{{L}_{1}}\] and \[{{L}_{2}}\] is equal to te acute angle between \[{{L}_{1}}\] and \[{{L}_{3}}\], then \[{{L}_{2}}\] is parallel to\[{{L}_{3}}\]..

 

A)  1 and 2 are correct

B)  1 and 3 are correct

C) 2 and 3 are correct

D) 1, 2 and 3 are correct